Scroll:Measurements >> Trapezium >> saq (4467)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

Area of a trapezium is 750 cm2. The parallel sides are 30 cm and 60 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




2)  

Area of a trapezium is 910 cm2. The parallel sides are 40 cm and 40 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




3)  

Area of a trapezium is 920 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




4)  

Area of a trapezium is 940 cm2. The parallel sides are 30 cm and 70 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




5)  

Area of a trapezium is 840 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




6)  

Area of a trapezium is 940 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




7)  

Area of a trapezium is 980 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




8)  

Area of a trapezium is 950 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




9)  

Area of a trapezium is 720 cm2. The parallel sides are 30 cm and 40 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




10)  

Area of a trapezium is 850 cm2. The parallel sides are 30 cm and 60 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




 

1)  

Area of a trapezium is 750 cm2. The parallel sides are 30 cm and 60 cm. Find the distance between the parallel sides.

Answer: 16.7 cm.


SOLUTION 1 :

Given,

Area of trapezium = 750 cm2

                             a = 30cm, b = 60cm.  h =

Area of trapezium = 12 x h (a+b)

                          750 = 12 x h x (30 + 60)

                          750 =  1/ 2 x h x 9045

                          75045 = h    ( dividing by 45, on both the sides )

                           16.7 = h 

Hence, the height of the trapezium is 16.7 cm.

 



2)  

Area of a trapezium is 910 cm2. The parallel sides are 40 cm and 40 cm. Find the distance between the parallel sides.

Answer: 22.8 cm.


SOLUTION 1 :

Given,

Area of trapezium = 910 cm2

                             a = 40cm, b = 40cm.  h =

Area of trapezium = 12 x h (a+b)

                          910 = 12 x h x (40 + 40)

                          910 =  1/ 2 x h x 8040

                          91040 = h    ( dividing by 40, on both the sides )

                           22.8 = h 

Hence, the height of the trapezium is 22.8 cm.

 



3)  

Area of a trapezium is 920 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

Answer: 23.0 cm.


SOLUTION 1 :

Given,

Area of trapezium = 920 cm2

                             a = 30cm, b = 50cm.  h =

Area of trapezium = 12 x h (a+b)

                          920 = 12 x h x (30 + 50)

                          920 =  1/ 2 x h x 8040

                          92040 = h    ( dividing by 40, on both the sides )

                           23.0 = h 

Hence, the height of the trapezium is 23.0 cm.

 



4)  

Area of a trapezium is 940 cm2. The parallel sides are 30 cm and 70 cm. Find the distance between the parallel sides.

Answer: 18.8 cm.


SOLUTION 1 :

Given,

Area of trapezium = 940 cm2

                             a = 30cm, b = 70cm.  h =

Area of trapezium = 12 x h (a+b)

                          940 = 12 x h x (30 + 70)

                          940 =  1/ 2 x h x 10050

                          94050 = h    ( dividing by 50, on both the sides )

                           18.8 = h 

Hence, the height of the trapezium is 18.8 cm.

 



5)  

Area of a trapezium is 840 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

Answer: 21.0 cm.


SOLUTION 1 :

Given,

Area of trapezium = 840 cm2

                             a = 30cm, b = 50cm.  h =

Area of trapezium = 12 x h (a+b)

                          840 = 12 x h x (30 + 50)

                          840 =  1/ 2 x h x 8040

                          84040 = h    ( dividing by 40, on both the sides )

                           21.0 = h 

Hence, the height of the trapezium is 21.0 cm.

 



6)  

Area of a trapezium is 940 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

Answer: 23.5 cm.


SOLUTION 1 :

Given,

Area of trapezium = 940 cm2

                             a = 30cm, b = 50cm.  h =

Area of trapezium = 12 x h (a+b)

                          940 = 12 x h x (30 + 50)

                          940 =  1/ 2 x h x 8040

                          94040 = h    ( dividing by 40, on both the sides )

                           23.5 = h 

Hence, the height of the trapezium is 23.5 cm.

 



7)  

Area of a trapezium is 980 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

Answer: 24.5 cm.


SOLUTION 1 :

Given,

Area of trapezium = 980 cm2

                             a = 30cm, b = 50cm.  h =

Area of trapezium = 12 x h (a+b)

                          980 = 12 x h x (30 + 50)

                          980 =  1/ 2 x h x 8040

                          98040 = h    ( dividing by 40, on both the sides )

                           24.5 = h 

Hence, the height of the trapezium is 24.5 cm.

 



8)  

Area of a trapezium is 950 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

Answer: 23.8 cm.


SOLUTION 1 :

Given,

Area of trapezium = 950 cm2

                             a = 30cm, b = 50cm.  h =

Area of trapezium = 12 x h (a+b)

                          950 = 12 x h x (30 + 50)

                          950 =  1/ 2 x h x 8040

                          95040 = h    ( dividing by 40, on both the sides )

                           23.8 = h 

Hence, the height of the trapezium is 23.8 cm.

 



9)  

Area of a trapezium is 720 cm2. The parallel sides are 30 cm and 40 cm. Find the distance between the parallel sides.

Answer: 20.6 cm.


SOLUTION 1 :

Given,

Area of trapezium = 720 cm2

                             a = 30cm, b = 40cm.  h =

Area of trapezium = 12 x h (a+b)

                          720 = 12 x h x (30 + 40)

                          720 =  1/ 2 x h x 7035

                          72035 = h    ( dividing by 35, on both the sides )

                           20.6 = h 

Hence, the height of the trapezium is 20.6 cm.

 



10)  

Area of a trapezium is 850 cm2. The parallel sides are 30 cm and 60 cm. Find the distance between the parallel sides.

Answer: 18.9 cm.


SOLUTION 1 :

Given,

Area of trapezium = 850 cm2

                             a = 30cm, b = 60cm.  h =

Area of trapezium = 12 x h (a+b)

                          850 = 12 x h x (30 + 60)

                          850 =  1/ 2 x h x 9045

                          85045 = h    ( dividing by 45, on both the sides )

                           18.9 = h 

Hence, the height of the trapezium is 18.9 cm.